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The first volume introduces combinatorial game theory and its foundation in the surreal numbers; partizan and impartial games; Sprague-Grundy theory and misère games. The second volume applies the theorems of the first volume to many games, including nim, sprouts, dots and boxes, Sylver coinage, philosopher's football, fox and geeseFox and geese is a board game where one player is the fox and tries to eat the geese, and the other is the geese and attempts to trap the fox. The fox is placed in the middle of the board, 13 geese are on one side of the board. The fox and geese can move. A final section on puzzles analyzes the Soma cubeThe Soma cube is a solid dissection puzzle created by Piet Hein during a lecture on Quantum Mechanics by Werner Heisenberg. Seven pieces made out of unit cubes must be assembled into a 3x3x3 cube. The pieces can also be used to make a variety of other int, Rubik's CubeRubik's Cube is a mechanical puzzle invented by the Hungarian sculptor and professor of architecture Erno Rubik in 1974. It has been estimated that over 100,000,000 Rubik's Cubes or imitations have been sold worldwide. The Rubik's Cube reached its height, peg solitairePeg Solitaire is a solitaire-type puzzle game for one player involving movement of pegs on a board with holes. The game is known just as Solitaire in England where the card games are called Patience. Some sets use marbles in a board with indentations., and Conway's game of life.
A republication of the work by A K Peters splits the content into four volumes.
Descriptions of Games from the Book
Combinatorial game theory